Question

The condition for the equation $x^2+bx+c=0$ to have real roots is ____.

• A. $b^2-4c<0$
• B. $b^2-4c\ge 0$
• C. $b^2-4c\le 0$
• D. $b^2+4c>0$

Answer 1

The correct option is B

$b^2-4c\ge 0$

For an equation to have real roots, discriminant $D\ge 0$,
($b^2-4ac\ge 0)$
The standard form of a quadratic equation is $a{x}^2+bx+c=0$
Here,
a = 1
So the condition will be, $b^2-4c\ge 0$